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Volume 22, Issue 1
A Two-Grid Method for the Steady Penalized Navier-Stokes Equations

Chunfeng Ren & Yichen Ma

J. Comp. Math., 22 (2004), pp. 101-112.

Published online: 2004-02

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  • Abstract

A two-grid method for the steady penalized incompressible Navier-Stokes equations is presented. Convergence results are proved. If $h=O(H^{3-s})$ and $\epsilon =O(H^{5-2s}) \ (s=0 \  (n=2); \ s=\frac{1}{2} \ (n=3))$ are chosen, the convergence order of this two-grid method is the same as that of the usual finite element method. Numerical results show that this method is efficient and can save a lot of computation time.

  • Keywords

Penalized Navier-Stokes equations, Two-grid method, Error estimate, Numerical test.

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COPYRIGHT: © Global Science Press

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@Article{JCM-22-101, author = {Ren , Chunfeng and Ma , Yichen}, title = {A Two-Grid Method for the Steady Penalized Navier-Stokes Equations}, journal = {Journal of Computational Mathematics}, year = {2004}, volume = {22}, number = {1}, pages = {101--112}, abstract = {

A two-grid method for the steady penalized incompressible Navier-Stokes equations is presented. Convergence results are proved. If $h=O(H^{3-s})$ and $\epsilon =O(H^{5-2s}) \ (s=0 \  (n=2); \ s=\frac{1}{2} \ (n=3))$ are chosen, the convergence order of this two-grid method is the same as that of the usual finite element method. Numerical results show that this method is efficient and can save a lot of computation time.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10338.html} }
TY - JOUR T1 - A Two-Grid Method for the Steady Penalized Navier-Stokes Equations AU - Ren , Chunfeng AU - Ma , Yichen JO - Journal of Computational Mathematics VL - 1 SP - 101 EP - 112 PY - 2004 DA - 2004/02 SN - 22 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10338.html KW - Penalized Navier-Stokes equations, Two-grid method, Error estimate, Numerical test. AB -

A two-grid method for the steady penalized incompressible Navier-Stokes equations is presented. Convergence results are proved. If $h=O(H^{3-s})$ and $\epsilon =O(H^{5-2s}) \ (s=0 \  (n=2); \ s=\frac{1}{2} \ (n=3))$ are chosen, the convergence order of this two-grid method is the same as that of the usual finite element method. Numerical results show that this method is efficient and can save a lot of computation time.

Chunfeng Ren & Yichen Ma. (1970). A Two-Grid Method for the Steady Penalized Navier-Stokes Equations. Journal of Computational Mathematics. 22 (1). 101-112. doi:
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